9. An article in a 2011 Psychology Science journal studied the facial structure of CEOs. The facial width-to-height ratio (WHR) was determined by computer analysis for each in a sample of 61 CEOs at publicly-traded Fortune 500 firms with the following results: 1 = 1.85, s = 0.12 (a) Find and interpret the 95% confidence interval for the population variance of the facial WHR values for all CEOs at publicly-traded Fortune 500 firms. (6 points) (b) Use your confidence interval from (a) to test whether the variance is equal to 0.02 or not. Be sure to show your hypotheses, give the test conclusion, explain how arrived at this conclusion and explain the conclusion of your test. (5 points) (C) For your confidence interval and test to be accurate, how must the population of WHR values be distributed? (2 points) (d) Conduct a test that the population mean WHR is greater than 1.8 at the 1% level of significance. Be sure to include the null and alternative hypotheses, the test statistic, the critical or p-value, the conclusion of the test and the meaning of the conclusion. (7 points)